212385583212 has 96 divisors (see below), whose sum is σ = 552399934464. Its totient is φ = 62958028800.

The previous prime is 212385583211. The next prime is 212385583213.

212385583212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (212385583211) and next prime (212385583213).

It is not an unprimeable number, because it can be changed into a prime (212385583211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14094162 + ... + 14109222.

It is an arithmetic number, because the mean of its divisors is an integer number (5754165984).

Almost surely, 2^212385583212 is an apocalyptic number.

212385583212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212385583212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276199967232).

212385583212 is an abundant number, since it is smaller than the sum of its proper divisors (340014351252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212385583212 is a wasteful number, since it uses less digits than its factorization.

212385583212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17399 (or 17397 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

It can be divided in two parts, 212385 and 583212, that added together give a palindrome (795597).

The spelling of 212385583212 in words is "two hundred twelve billion, three hundred eighty-five million, five hundred eighty-three thousand, two hundred twelve".